Involution The Formal Theory of Differential Equations and its Applications in Computer Algebra

Involution The Formal Theory of Differential Equations and its Applications in Computer Algebra / by Werner M. Seiler.

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Bibliographic Details
Main Author: Seiler, Werner M. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
Edition:1st ed. 2010.
Series:Algorithms and Computation in Mathematics, 24
Springer eBook Collection.
Subjects:
Partial differential equations.
Differential equations.
Commutative algebra.
Commutative rings.
Algebra.
Mathematical physics.
Computer science—Mathematics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Formal Geometry of Differential Equations
  • Involution I: Algebraic Theory
  • Completion to Involution
  • Structure Analysis of Polynomial Modules
  • Involution II: Homological Theory
  • Involution III: Differential Theory
  • The Size of the Formal Solution Space
  • Existence and Uniqueness of Solutions
  • Linear Differential Equations
  • Miscellaneous
  • Algebra
  • Differential Geometry.

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